Start by pounding the chicken breasts between two sheets of plastic wrap until they are evenly thin, about half an inch thick. This helps them cook quickly and evenly.
Set up a dredging station with three shallow dishes: one with flour, the second with beaten eggs, and the third with panko breadcrumbs seasoned with a pinch of salt and pepper.
Dip each chicken piece first into the flour, shaking off any excess, then into the beaten eggs, and finally coat thoroughly with the panko breadcrumbs, pressing gently to adhere.
Heat the olive oil in a heavy skillet over medium-high heat until shimmering and just beginning to smoke. Carefully add the breaded chicken pieces to the hot oil, spacing them out to avoid crowding.
Cook the chicken for about 3-4 minutes on each side, until golden brown and crispy, and the internal temperature reaches 165°F (75°C). Use tongs to turn and avoid splattering oil.
Once cooked, transfer the chicken to paper towels to drain excess oil, then set aside and keep warm.
While the chicken rests, prepare the fennel salad by trimming and thinly slicing the fennel bulbs. Place the slices in a bowl and add the lemon zest and juice along with two tablespoons of olive oil.
Toss the fennel slices gently to coat with the lemon and oil, then season with salt and pepper to taste. Let sit for a few minutes to allow the flavors to meld.
Plate the crispy chicken pieces alongside the fresh fennel salad, ensuring the slices are crisp and vibrant, and the chicken is golden and crunchy.
Squeeze a little fresh lemon juice over the chicken and fennel just before serving for an extra burst of brightness. Serve immediately for optimal crunch and freshness.